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Finding the Fourth Proportional to 5,527.85, 8,292.78 and 1,829.39

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Solution

The fourth proportional to 5,527.85, 8,292.78 and 1,829.39 is: 2,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.85 : 8,292.78 = 1,829.39 : x
  2. Step 2: Convert to fraction form
    5,527.85/8,292.78 = 1,829.39/x
  3. Step 3: Cross multiply
    5,527.85x = 8,292.78 × 1,829.39
  4. Step 4: Simplify right side
    5,527.85x = 15,170,687.34
  5. Step 5: Solve for x
    x = 15,170,687.34/5,527.85
  6. Step 6: Final answer
    x = 2,744.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.